#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (3a)";

double f_if(float l, float Om, float kx, float ky) {
        float r22160 = 1;
        float r22161 = 2;
        float r22162 = r22160 / r22161;
        float r22163 = l;
        float r22164 = r22161 * r22163;
        float r22165 = Om;
        float r22166 = r22164 / r22165;
        float r22167 = pow(r22166, r22161);
        float r22168 = kx;
        float r22169 = sin(r22168);
        float r22170 = pow(r22169, r22161);
        float r22171 = ky;
        float r22172 = sin(r22171);
        float r22173 = pow(r22172, r22161);
        float r22174 = r22170 + r22173;
        float r22175 = r22167 * r22174;
        float r22176 = r22160 + r22175;
        float r22177 = sqrt(r22176);
        float r22178 = r22160 / r22177;
        float r22179 = r22160 + r22178;
        float r22180 = r22162 * r22179;
        float r22181 = sqrt(r22180);
        return r22181;
}

double f_id(double l, double Om, double kx, double ky) {
        double r22182 = 1;
        double r22183 = 2;
        double r22184 = r22182 / r22183;
        double r22185 = l;
        double r22186 = r22183 * r22185;
        double r22187 = Om;
        double r22188 = r22186 / r22187;
        double r22189 = pow(r22188, r22183);
        double r22190 = kx;
        double r22191 = sin(r22190);
        double r22192 = pow(r22191, r22183);
        double r22193 = ky;
        double r22194 = sin(r22193);
        double r22195 = pow(r22194, r22183);
        double r22196 = r22192 + r22195;
        double r22197 = r22189 * r22196;
        double r22198 = r22182 + r22197;
        double r22199 = sqrt(r22198);
        double r22200 = r22182 / r22199;
        double r22201 = r22182 + r22200;
        double r22202 = r22184 * r22201;
        double r22203 = sqrt(r22202);
        return r22203;
}


double f_of(float l, float Om, float kx, float ky) {
        float r22204 = 1;
        float r22205 = 2;
        float r22206 = r22204 / r22205;
        float r22207 = l;
        float r22208 = r22205 * r22207;
        float r22209 = Om;
        float r22210 = r22208 / r22209;
        float r22211 = pow(r22210, r22205);
        float r22212 = kx;
        float r22213 = sin(r22212);
        float r22214 = pow(r22213, r22205);
        float r22215 = ky;
        float r22216 = sin(r22215);
        float r22217 = pow(r22216, r22205);
        float r22218 = r22214 + r22217;
        float r22219 = r22211 * r22218;
        float r22220 = r22204 + r22219;
        float r22221 = sqrt(r22220);
        float r22222 = r22204 / r22221;
        float r22223 = r22204 + r22222;
        float r22224 = r22206 * r22223;
        float r22225 = sqrt(r22224);
        return r22225;
}

double f_od(double l, double Om, double kx, double ky) {
        double r22226 = 1;
        double r22227 = 2;
        double r22228 = r22226 / r22227;
        double r22229 = l;
        double r22230 = r22227 * r22229;
        double r22231 = Om;
        double r22232 = r22230 / r22231;
        double r22233 = pow(r22232, r22227);
        double r22234 = kx;
        double r22235 = sin(r22234);
        double r22236 = pow(r22235, r22227);
        double r22237 = ky;
        double r22238 = sin(r22237);
        double r22239 = pow(r22238, r22227);
        double r22240 = r22236 + r22239;
        double r22241 = r22233 * r22240;
        double r22242 = r22226 + r22241;
        double r22243 = sqrt(r22242);
        double r22244 = r22226 / r22243;
        double r22245 = r22226 + r22244;
        double r22246 = r22228 * r22245;
        double r22247 = sqrt(r22246);
        return r22247;
}

void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) {
        mpfr_fmod(r, n, d, rmd);
        if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd);
}


static mpfr_t r22248, r22249, r22250, r22251, r22252, r22253, r22254, r22255, r22256, r22257, r22258, r22259, r22260, r22261, r22262, r22263, r22264, r22265, r22266, r22267, r22268, r22269;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22248, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22249, "2", 10, MPFR_RNDN);
        mpfr_init(r22250);
        mpfr_init(r22251);
        mpfr_init(r22252);
        mpfr_init(r22253);
        mpfr_init(r22254);
        mpfr_init(r22255);
        mpfr_init(r22256);
        mpfr_init(r22257);
        mpfr_init(r22258);
        mpfr_init(r22259);
        mpfr_init(r22260);
        mpfr_init(r22261);
        mpfr_init(r22262);
        mpfr_init(r22263);
        mpfr_init(r22264);
        mpfr_init(r22265);
        mpfr_init(r22266);
        mpfr_init(r22267);
        mpfr_init(r22268);
        mpfr_init(r22269);
}

double f_im(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22250, r22248, r22249, MPFR_RNDN);
        mpfr_set_d(r22251, l, MPFR_RNDN);
        mpfr_mul(r22252, r22249, r22251, MPFR_RNDN);
        mpfr_set_d(r22253, Om, MPFR_RNDN);
        mpfr_div(r22254, r22252, r22253, MPFR_RNDN);
        mpfr_pow(r22255, r22254, r22249, MPFR_RNDN);
        mpfr_set_d(r22256, kx, MPFR_RNDN);
        mpfr_sin(r22257, r22256, MPFR_RNDN);
        mpfr_pow(r22258, r22257, r22249, MPFR_RNDN);
        mpfr_set_d(r22259, ky, MPFR_RNDN);
        mpfr_sin(r22260, r22259, MPFR_RNDN);
        mpfr_pow(r22261, r22260, r22249, MPFR_RNDN);
        mpfr_add(r22262, r22258, r22261, MPFR_RNDN);
        mpfr_mul(r22263, r22255, r22262, MPFR_RNDN);
        mpfr_add(r22264, r22248, r22263, MPFR_RNDN);
        mpfr_sqrt(r22265, r22264, MPFR_RNDN);
        mpfr_div(r22266, r22248, r22265, MPFR_RNDN);
        mpfr_add(r22267, r22248, r22266, MPFR_RNDN);
        mpfr_mul(r22268, r22250, r22267, MPFR_RNDN);
        mpfr_sqrt(r22269, r22268, MPFR_RNDN);
        return mpfr_get_d(r22269, MPFR_RNDN);
}

static mpfr_t r22270, r22271, r22272, r22273, r22274, r22275, r22276, r22277, r22278, r22279, r22280, r22281, r22282, r22283, r22284, r22285, r22286, r22287, r22288, r22289, r22290, r22291;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22270, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22271, "2", 10, MPFR_RNDN);
        mpfr_init(r22272);
        mpfr_init(r22273);
        mpfr_init(r22274);
        mpfr_init(r22275);
        mpfr_init(r22276);
        mpfr_init(r22277);
        mpfr_init(r22278);
        mpfr_init(r22279);
        mpfr_init(r22280);
        mpfr_init(r22281);
        mpfr_init(r22282);
        mpfr_init(r22283);
        mpfr_init(r22284);
        mpfr_init(r22285);
        mpfr_init(r22286);
        mpfr_init(r22287);
        mpfr_init(r22288);
        mpfr_init(r22289);
        mpfr_init(r22290);
        mpfr_init(r22291);
}

double f_fm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22272, r22270, r22271, MPFR_RNDN);
        mpfr_set_d(r22273, l, MPFR_RNDN);
        mpfr_mul(r22274, r22271, r22273, MPFR_RNDN);
        mpfr_set_d(r22275, Om, MPFR_RNDN);
        mpfr_div(r22276, r22274, r22275, MPFR_RNDN);
        mpfr_pow(r22277, r22276, r22271, MPFR_RNDN);
        mpfr_set_d(r22278, kx, MPFR_RNDN);
        mpfr_sin(r22279, r22278, MPFR_RNDN);
        mpfr_pow(r22280, r22279, r22271, MPFR_RNDN);
        mpfr_set_d(r22281, ky, MPFR_RNDN);
        mpfr_sin(r22282, r22281, MPFR_RNDN);
        mpfr_pow(r22283, r22282, r22271, MPFR_RNDN);
        mpfr_add(r22284, r22280, r22283, MPFR_RNDN);
        mpfr_mul(r22285, r22277, r22284, MPFR_RNDN);
        mpfr_add(r22286, r22270, r22285, MPFR_RNDN);
        mpfr_sqrt(r22287, r22286, MPFR_RNDN);
        mpfr_div(r22288, r22270, r22287, MPFR_RNDN);
        mpfr_add(r22289, r22270, r22288, MPFR_RNDN);
        mpfr_mul(r22290, r22272, r22289, MPFR_RNDN);
        mpfr_sqrt(r22291, r22290, MPFR_RNDN);
        return mpfr_get_d(r22291, MPFR_RNDN);
}

static mpfr_t r22292, r22293, r22294, r22295, r22296, r22297, r22298, r22299, r22300, r22301, r22302, r22303, r22304, r22305, r22306, r22307, r22308, r22309, r22310, r22311, r22312, r22313;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(336);
        mpfr_init_set_str(r22292, "1", 10, MPFR_RNDN);
        mpfr_init_set_str(r22293, "2", 10, MPFR_RNDN);
        mpfr_init(r22294);
        mpfr_init(r22295);
        mpfr_init(r22296);
        mpfr_init(r22297);
        mpfr_init(r22298);
        mpfr_init(r22299);
        mpfr_init(r22300);
        mpfr_init(r22301);
        mpfr_init(r22302);
        mpfr_init(r22303);
        mpfr_init(r22304);
        mpfr_init(r22305);
        mpfr_init(r22306);
        mpfr_init(r22307);
        mpfr_init(r22308);
        mpfr_init(r22309);
        mpfr_init(r22310);
        mpfr_init(r22311);
        mpfr_init(r22312);
        mpfr_init(r22313);
}

double f_dm(double l, double Om, double kx, double ky) {
        ;
        ;
        mpfr_div(r22294, r22292, r22293, MPFR_RNDN);
        mpfr_set_d(r22295, l, MPFR_RNDN);
        mpfr_mul(r22296, r22293, r22295, MPFR_RNDN);
        mpfr_set_d(r22297, Om, MPFR_RNDN);
        mpfr_div(r22298, r22296, r22297, MPFR_RNDN);
        mpfr_pow(r22299, r22298, r22293, MPFR_RNDN);
        mpfr_set_d(r22300, kx, MPFR_RNDN);
        mpfr_sin(r22301, r22300, MPFR_RNDN);
        mpfr_pow(r22302, r22301, r22293, MPFR_RNDN);
        mpfr_set_d(r22303, ky, MPFR_RNDN);
        mpfr_sin(r22304, r22303, MPFR_RNDN);
        mpfr_pow(r22305, r22304, r22293, MPFR_RNDN);
        mpfr_add(r22306, r22302, r22305, MPFR_RNDN);
        mpfr_mul(r22307, r22299, r22306, MPFR_RNDN);
        mpfr_add(r22308, r22292, r22307, MPFR_RNDN);
        mpfr_sqrt(r22309, r22308, MPFR_RNDN);
        mpfr_div(r22310, r22292, r22309, MPFR_RNDN);
        mpfr_add(r22311, r22292, r22310, MPFR_RNDN);
        mpfr_mul(r22312, r22294, r22311, MPFR_RNDN);
        mpfr_sqrt(r22313, r22312, MPFR_RNDN);
        return mpfr_get_d(r22313, MPFR_RNDN);
}

